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A085849 Decimal expansion of the probability that two m X m and n X n matrices (m,n large) have relatively prime determinants. +0
1
3, 5, 3, 2, 3, 6, 3, 7, 1, 8, 5, 4, 9, 9, 5, 9, 8, 4, 5, 4, 3, 5, 1, 6, 5, 5, 0, 4, 3, 2, 6, 8, 2, 0, 1, 1, 2, 8, 0, 1 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

The Hafner-Sarnak-McCurley constant.

REFERENCES

P. Flajolet and Ilan Vardi, Zeta function Expansions of Classical constants, Feb. 18, 1996

Hafner, J. L., Sarnak, P. and McCurley, K., Relatively prime values of polynomials, In contemporary Mathematics (1993), M. Knopp and M. Sheigorn, Eds., vol. 143.

LINKS

Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants

Eric Weisstein's World of Mathematics, Hafner-Sarnak-McCurley Constant

Wikipedia, Hafner-Sarnak-McCurley constant

FORMULA

s=prod(1-(1-prod(n>=1, 1-1/p^n))^2) where p runs through the primes; s=0.35323637185499598454... - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 05 2003

EXAMPLE

0.3532363719...

CROSSREFS

Sequence in context: A023505 A021743 A057023 this_sequence A100481 A101778 A161670

Adjacent sequences: A085846 A085847 A085848 this_sequence A085850 A085851 A085852

KEYWORD

nonn,cons,more

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 05, 2003

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 05 2003

Edited by N. J. A. Sloane (njas(AT)research.att.com), Feb 11 2009 at the suggestion of R. J. Mathar

Twenty additional digits from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2009

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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